132220213020 has 576 divisors, whose sum is σ = 491871744000. Its totient is φ = 28080691200.

The previous prime is 132220213003. The next prime is 132220213033. The reversal of 132220213020 is 20312022231.

132220213020 is a `hidden beast` number, since 1 + 322 + 20 + 21 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132220212984 and 132220213002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360272877 + ... + 360273243.

It is an arithmetic number, because the mean of its divisors is an integer number (853944000).

Almost surely, 2^132220213020 is an apocalyptic number.

132220213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132220213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245935872000).

132220213020 is an abundant number, since it is smaller than the sum of its proper divisors (359651530980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132220213020 is a wasteful number, since it uses less digits than its factorization.

132220213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132220213020 its reverse (20312022231), we get a palindrome (152532235251).

The spelling of 132220213020 in words is "one hundred thirty-two billion, two hundred twenty million, two hundred thirteen thousand, twenty".